What is the Greatest Common Factor of 29664 and 29669?

Greatest common factor (GCF) of 29664 and 29669 is 1.

GCF(29664,29669) = 1

We will now calculate the prime factors of 29664 and 29669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29664 and 29669.

How to find the GCF of 29664 and 29669?

We will first find the prime factorization of 29664 and 29669. After we will calculate the factors of 29664 and 29669 and find the biggest common factor number .

Step-1: Prime Factorization of 29664

Prime factors of 29664 are 2, 3, 103. Prime factorization of 29664 in exponential form is:

29664 = 2⁵ × 3² × 103¹

Step-2: Prime Factorization of 29669

Prime factors of 29669 are 29669. Prime factorization of 29669 in exponential form is:

29669 = 29669¹

Step-3: Factors of 29664

List of positive integer factors of 29664 that divides 29664 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 103, 144, 206, 288, 309, 412, 618, 824, 927, 1236, 1648, 1854, 2472, 3296, 3708, 4944, 7416, 9888, 14832

Step-4: Factors of 29669

List of positive integer factors of 29669 that divides 29664 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29664 and 29669. The biggest common factor number is the GCF number.
So the greatest common factor 29664 and 29669 is 1.

Also check out the Least Common Multiple of 29664 and 29669